Graph Relationships Semester 1

The slope of the momentum vs. time graph is equal to

Force

The area under the curve of the net external force vs. time graph is equal to

Impulse (change in momentum)

The slope of the velocity vs. time graph is equal to

acceleration

The net force vs. time graph is the same shape as the

acceleration vs. time graph

The area under the velocity vs. time curve is equal to the

change in position (displacement)

The area under the acceleration vs. time graph is equal to the

change in velocity

The total mechanical energy graph is

constant

The total mechanical energy graph represents the sum of the

kinetic energy vs. time graph and the potential energy vs. time graph

Net force is equal to

mass x acceleration

Potential energy is equal to

mass x gravity x height (mgy)

Momentum is equal to

mass x velocity

The potential energy vs. time graph is the same shape as the

position vs. time graph

The slope of the position vs. time graph is equal to

velocity

The gram of momentum vs. time the same shape as the

velocity vs. time graph

The kinetic energy vs. time graph is related to the

velocity vs. time graph

Kinetic energy is equal to

1/2mv²